Souray reported to his second Devils training camp overweight and out-of-shape, prompting general manager Lou Lamoriello called him embarrassing, and that he would never play for the team if it happened again.
Souray's offence began to improve following his trade to the Canadiens.
More importantly, he began using his dangerous shot more often once he arrived in Montreal.
In 2000–01, injuries limited him to just 52 games, 19 less than the previous year, but Souray still managed to match his previous season's career bests in goals (3), assists (8) and points.
However, he suffered a wrist injury that plagued him throughout the year, and though he would play through it much of the season, Souray would eventually shut it down at the end of the season.
The severity of the wrist injury kept him out the entire 2002–03 season while he recovered and regained his strength.